Introduction to conic sections | Conic sections | Algebra II | Khan Academy

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  • เผยแพร่เมื่อ 2 ม.ค. 2025

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  • @joelmorris214
    @joelmorris214 8 ปีที่แล้ว +374

    KHANic sections.

    • @superroydude
      @superroydude 7 ปีที่แล้ว +1

      XD, you beat me to it.

    • @MechaDragonX
      @MechaDragonX 7 ปีที่แล้ว +1

      Areeb Shahjahan beat both of you by two years!

    • @tennoskuum9632
      @tennoskuum9632 5 ปีที่แล้ว

      You stole my joke

    • @tonybaston3419
      @tonybaston3419 4 ปีที่แล้ว +2

      I just come here with the sole intention of making that joke

  • @khanacademy
    @khanacademy  15 ปีที่แล้ว +73

    Great to hear that. Maybe I can do a series of videos on why bones break and how they heal (dedicated to you of course!). Actually, that's a pretty good idea. Need to do the basic bio first to do the healing part.

    • @alibabaintelligence8281
      @alibabaintelligence8281 3 ปีที่แล้ว +3

      omgggg justin biebeeeeeeeeer

    • @kj123._.
      @kj123._. 10 หลายเดือนก่อน

      @@alibabaintelligence8281 what

  • @pongman
    @pongman 15 ปีที่แล้ว +28

    Thank you Sal. I work in an orthopaedic office and everyday I send all the kids that come in, to your website. The moms and dads come back to thank me for the info. When I talk to the kids I ask them how their math is in school and they look at me and say, "well I passed!" and then there's a chuckle. I've become a hit for them because they leave with more than a cast.

  • @khanacademy
    @khanacademy  15 ปีที่แล้ว +44

    Still trying to work out how to arrange the plane and the cone to get that.

  • @pigmentsonpapers1647
    @pigmentsonpapers1647 2 ปีที่แล้ว +10

    If only I had learnt from you Sir. I would have feared maths less and be fascinated by its beauty more. I now understand why some people's eyes have a glint when they talk about maths. Thank you for your contribution.

  • @loverofbeats
    @loverofbeats 14 ปีที่แล้ว +16

    you're an amazing teacher! thank you for your time, sounds like you truly have a passion for teaching :D

    • @N.asper02
      @N.asper02 หลายเดือนก่อน

      I just saw this account was 17 years ago, please do tell how it's going this far? That's cool

  • @Tehcarp
    @Tehcarp 15 ปีที่แล้ว +2

    It's one part talent and one part that he cares.
    A rare combination. Far too rare.

  • @urielruss
    @urielruss 4 ปีที่แล้ว +4

    Dude you are amazing. If everyone learned math like this, we would have a world of geniuses. Thank :)

  • @KickinAss1000
    @KickinAss1000 7 ปีที่แล้ว +18

    Your comparison of the two dimensional plain representing a single cross section of a three dimensional object completely just changed my picture of geometry, thank you.

  • @pizzapleope6595
    @pizzapleope6595 2 ปีที่แล้ว +5

    this video is older than me and i still learned loads thanks man

  • @hunterepicness4303
    @hunterepicness4303 2 ปีที่แล้ว +2

    Wow just realized this video is over 12 years old.... and thanks to this over-a-decade old video I for the first time finally understand those conic figures at the end. They always looked so complicated but I finally understand it now!

  • @norwayte
    @norwayte 15 ปีที่แล้ว +6

    Thanks for the relations between them. I'm looking forward for the different equations for the ellipse.... parameter.... polar.... etc. and how they relate to each other. You have the gift.

  • @pami7160
    @pami7160 3 ปีที่แล้ว +2

    12 years ago but I need this experience now

    • @pmdchi
      @pmdchi 3 ปีที่แล้ว

      lol

  • @Theoryclash
    @Theoryclash 13 ปีที่แล้ว

    Thank you so much.
    You can not understand how greatly thankful I am to for you, you're what we need in front of our classrooms and at our dining tables teaching kids things.
    Just, thank you.

  • @Jakers2009
    @Jakers2009 15 ปีที่แล้ว

    Sal you really are amazing... I mean I'm sure there are some guys out there who do reasearch into things and work out complicated stuff but I'm not sure they understand things like you do.... and definately do not present or explain things as well...

  • @potatopumpkin6925
    @potatopumpkin6925 4 ปีที่แล้ว +1

    Thank you Sir! I graduated high school with your help!! Thankyouu

  • @linuxguru27
    @linuxguru27 2 ปีที่แล้ว +1

    wonderful explanation, I am programmer, and maths always attracts me, and i was rusty and checking what i studied 21 yrs ago, and wallah this explanation is clear, and i re-learned the things today.
    Thank you for such wonderful lesson.

  • @spanishbeard9654
    @spanishbeard9654 10 ปีที่แล้ว +62

    At 2:30 you have a smiley face lol

  • @nvjolley
    @nvjolley 11 ปีที่แล้ว +2

    I actually fell asleep your voice is so soothing.

  • @Waranle
    @Waranle 15 ปีที่แล้ว

    Everytime i open one of your videos, i learn something new... that is the joy of watching your videoz, Thank you Sal

  • @raygodinez1501
    @raygodinez1501 8 ปีที่แล้ว +6

    most excellent! good explanation.

  • @emoalexisemoful
    @emoalexisemoful 11 ปีที่แล้ว

    I would never pass without you Sal, thank you very much!!!!!!!!

  • @bxcraftplayz1386
    @bxcraftplayz1386 2 ปีที่แล้ว +1

    Thank you khan academy

  • @yyourfacee
    @yyourfacee 14 ปีที่แล้ว +2

    your drawings are amazing

  • @autumnseptember1674
    @autumnseptember1674 3 ปีที่แล้ว +1

    You are amazing.🤓

  • @harshathkanadka1672
    @harshathkanadka1672 4 ปีที่แล้ว

    Dude the best channel !!! 1000×better than byjus

  • @AlphaCrucis
    @AlphaCrucis 15 ปีที่แล้ว +1

    Thank you for this. I'm trying to learn the topics I missed in High School to prepare for college this fall. Is this in a playlist yet? Which playlist would it be? Conics or precalc?

  • @LiinksGaming
    @LiinksGaming 5 ปีที่แล้ว +1

    Dude this video is still useful even after 10 years of when it was published

  • @guyses4983
    @guyses4983 4 ปีที่แล้ว +1

    thx huge help for my class

  • @pongman
    @pongman 15 ปีที่แล้ว

    Oh you're too kind. It would be a neat idea and I'm quite certain some first year ortho resident would find it most appreciative to see this on You Tube as well as the kids who go on your website to learn how bones heal as well as break. I think you explained Wolf's Law in one of your physics videos.

  • @galikazoid
    @galikazoid 15 ปีที่แล้ว +1

    thanks for doing what you do; mathematics is fascinating

  • @adeedeedeetv
    @adeedeedeetv 14 ปีที่แล้ว +1

    My teachers motto this semester:
    Learn it yourself I am being fired for DUI!
    Joy.
    Thanks to you I learned conics and logarithms

  • @PapaGotSkills
    @PapaGotSkills 13 ปีที่แล้ว

    I wish I had you as a teacher, your brilliant

  • @abbybasile936
    @abbybasile936 9 ปีที่แล้ว +38

    ATTACK OF THE COLORED LINES!!

  • @hai2410
    @hai2410 15 ปีที่แล้ว

    My favourite of all your videos so far. very well explained indeed

  • @VideoOfMike
    @VideoOfMike 15 ปีที่แล้ว +2

    YES!!!!!!!
    The canadian education system skipped THE ENTIRE CONIC SECTION on PURPOSE!!! and the SAT math II REQUIRES CONICS!!!!!!!!!!!!
    THANKS!!!!!!!!!!!!!!!!!!!!!!!!!!

  • @venkateshprasad0
    @venkateshprasad0 11 ปีที่แล้ว +1

    I guess you never heard of Khan Academy,just search for khanacademy on google and visit their website and browse through the entire collection of video lectures.

  • @dougd120
    @dougd120 5 หลายเดือนก่อน

    I like the approach he does!

  • @MrOscher
    @MrOscher 13 ปีที่แล้ว

    Awesome video, very clear understanding at the end of it's ten minutes. Audio quality was superb.

  • @sahilcharniya7622
    @sahilcharniya7622 11 ปีที่แล้ว +3

    really great introduction :)

  • @theholywand11
    @theholywand11 13 ปีที่แล้ว

    The funnest thing is i'm in pre-algebra and now i know and can look into the future :]

  • @JohnnyJohn12503
    @JohnnyJohn12503 11 ปีที่แล้ว

    Im currently learning this through BYU. this is much better

  • @luciusirving5926
    @luciusirving5926 5 ปีที่แล้ว

    Still helpful for an old video and this is better than all the math videos from 2006 and 2007.

  • @ace1cx3
    @ace1cx3 13 ปีที่แล้ว

    Thank you!!!!! Now that I have watched your videos I understand all of it!!!! I use your website too. :D

  • @theideacove1
    @theideacove1 5 ปีที่แล้ว +1

    subtitled in 21 different languges. wow good job 👍

  • @Jtking3000
    @Jtking3000 15 ปีที่แล้ว +2

    well you learn something new everyday :)

  • @protoname_
    @protoname_ 12 ปีที่แล้ว +1

    Thanks for the idea!

  • @imishan100
    @imishan100 11 ปีที่แล้ว +1

    Thanks keep up the good work sir

  • @cinquain0
    @cinquain0 6 ปีที่แล้ว

    That video was amazing! Great job Sal

  • @paulasarmiento9449
    @paulasarmiento9449 5 ปีที่แล้ว

    i learn more from this channel than i do from my school teacher

  • @invisiblebutterfly6
    @invisiblebutterfly6 13 ปีที่แล้ว

    What if you put the plane completely vertical and in the centre of the cone? Is the result of that an absolute value graph...or am I just confusing myself now?
    Nice video btw! :)

  • @asherjunaid7847
    @asherjunaid7847 8 ปีที่แล้ว

    pioneering e learning!

  • @rina.bella94
    @rina.bella94 13 ปีที่แล้ว +1

    @weurRTG Thanks, I'm 17, in Quebec we learn this in the equivalent of I don't know how it works, somewhere in high school maybe, and it think it's really hard.

  • @dianedavidson5283
    @dianedavidson5283 4 ปีที่แล้ว +2

    Yes, there really ought to be a cool 3D software that shows all this more clearly.

  • @jeevanadithya743
    @jeevanadithya743 4 ปีที่แล้ว

    Sir I like your video the way u do explain and make us understand, as a student I want to give you an suggestion please don't take it other way sir I thik your videos could be more clearly understandable if you add animations to it to explain concepts like conic sections and it would be ease for u too also to explain.😊

  • @waqas902
    @waqas902 13 ปีที่แล้ว +1

    thank you

  • @denibarondo9277
    @denibarondo9277 6 ปีที่แล้ว

    I like your humor khan academy :))

  • @karimkhan1312
    @karimkhan1312 10 ปีที่แล้ว +2

    thank u sir for excellent lecture

  • @Mammothgravitybattles
    @Mammothgravitybattles 9 ปีที่แล้ว

    Very cool, orbits are great.

  • @kennethdadedzi3796
    @kennethdadedzi3796 11 ปีที่แล้ว

    Great introduction

  • @Jakers2009
    @Jakers2009 15 ปีที่แล้ว

    Thats so true, but i still understand it all... once the jargon is outta the way..

  • @TheAnaisP
    @TheAnaisP 11 ปีที่แล้ว +5

    4:20
    smiley face :)

  • @rajuthoppil3393
    @rajuthoppil3393 3 ปีที่แล้ว

    Awsm teaching

  • @MiaVilleneuve
    @MiaVilleneuve 6 หลายเดือนก่อน +1

    2:15 anyone see the smiley face :0)

  • @lanaashraf5106
    @lanaashraf5106 5 ปีที่แล้ว +1

    The parabola should've been drawn as a line in the planar view, not a curve, since the plan you're cutting with is perpendicular to the plan view.

  • @orchidscion
    @orchidscion 5 ปีที่แล้ว +5

    Now I'm less likely to fail my test. I literally made a 0 on a quiz to to a lack of understanding

  • @trecool212
    @trecool212 12 ปีที่แล้ว

    The line and point are both conic sections as well, yes?

  • @PolyFranchesco
    @PolyFranchesco 6 ปีที่แล้ว

    "you don't do this in your algebra 2 class"
    I am actually using this video for a project in my algebra 2 class where we are doing exactly what you said we shouldn't XD

  • @Irades
    @Irades ปีที่แล้ว

    Thank you :)

  • @getsurasengan
    @getsurasengan 14 ปีที่แล้ว

    I learned alot

  • @arkappa-t
    @arkappa-t 9 หลายเดือนก่อน

    Reviewing conics for central force :3

  • @BlackOpsIsTheBest
    @BlackOpsIsTheBest 12 ปีที่แล้ว

    Everyone from Teague and Anderson, this is pretty good stuff! Better hope we don't end up chasing this down with 8 sections of notes though. XD Have a great day everyone!
    #p.4 teauge? nah #'s too lame
    Baylife

  • @beeayyee9977
    @beeayyee9977 6 ปีที่แล้ว +1

    Write down an outline for your video, will help with guessing what to explain next.

  • @dreaming_of_that_mbbs_mbchb
    @dreaming_of_that_mbbs_mbchb 10 ปีที่แล้ว +3

    Can u link previous videos please also using all maths on khan webpage how long is that going to take as takeb 5 days and only learnt 20 skills

  • @pongman
    @pongman 15 ปีที่แล้ว

    Oh and one other thing, maybe you can use Google SketchUp it's a 3-D tool that's free.
    Kind regards,
    pongman

  • @weurRTG
    @weurRTG 13 ปีที่แล้ว

    @SOLOVEFUCKINGmuz Algebra II is usually taught at age 15, or 10th grade. However, I've seen 11th grade students take the course, and I've even seen 8th graders take the course.
    I took it as a 9th grade student.

  • @bninjabninja
    @bninjabninja 13 ปีที่แล้ว

    Check this out! This video has a Download button in the description !!!

  • @orangegold1
    @orangegold1 14 ปีที่แล้ว

    So is a point a conics section... if your plane is horizontal right in the point that the two tips of the cones meet?

  • @theweirdosyeah
    @theweirdosyeah 13 ปีที่แล้ว +6

    Haha, 4:17 there's a smily face :)

  • @divyasharma6389
    @divyasharma6389 12 ปีที่แล้ว

    thnx good explanation

  • @MrShasheem123
    @MrShasheem123 12 ปีที่แล้ว +1

    Exercise in 3-d drawing!! :D XD

  • @joshuamason2227
    @joshuamason2227 5 ปีที่แล้ว +1

    5:40 what's that sound

    • @Penguin-1966
      @Penguin-1966 4 ปีที่แล้ว

      i think thats him accidentaly breathing out of his nose onto his mic :()

  • @DefaultGray
    @DefaultGray 9 ปีที่แล้ว +10

    Smiley face!

    • @PAWNB3YOND
      @PAWNB3YOND 4 ปีที่แล้ว +1

      Yelling facial expressions is not how facial expressions work

  • @theomer1
    @theomer1 11 ปีที่แล้ว

    Unquestionably World's best teacher!

  • @aneeshaph5007
    @aneeshaph5007 3 ปีที่แล้ว

    Thankyou

  • @shatilachowdhury5321
    @shatilachowdhury5321 6 ปีที่แล้ว

    Thank you for this video. I am taking precalculus in college. It really helps. Thanks again, Sal Khan, Khan Academy

  • @rina.bella94
    @rina.bella94 13 ปีที่แล้ว

    just wondering in what year of studies do we learn that, the age I mean, trying to compare with quebec.

  • @pyrojayxx1366
    @pyrojayxx1366 4 ปีที่แล้ว

    I love you sir.

  • @DeSanctist
    @DeSanctist 12 ปีที่แล้ว

    yeah, correct! us too.

  • @nashidragneel7776
    @nashidragneel7776 6 ปีที่แล้ว +1

    Prrrrraabola!!

  • @waterlily716
    @waterlily716 15 ปีที่แล้ว +6

    is an ebola a conic section? hee hee
    ah thanks for this video. good old algebra two :)

    • @bhavikaagarwal_
      @bhavikaagarwal_ 5 ปีที่แล้ว

      Oh my god.. seriously!!!?

    • @jordyvillanueva7325
      @jordyvillanueva7325 4 ปีที่แล้ว

      Hello ! 10 years ago

    • @hexa3389
      @hexa3389 3 ปีที่แล้ว

      Ebola joke 10 years ago...
      Is Corona a conic section?

  • @netraraman4532
    @netraraman4532 9 ปีที่แล้ว

    Sir I have a question: wasn't that parabola one intersecting the above cone (the one which was parallel ) so won't it will actually become a hyperbola?

    • @samgaines2337
      @samgaines2337 8 ปีที่แล้ว +1

      +Netra raman You're just viewing it wrong. If it's parallel, it will never cross.

  • @shastacon45
    @shastacon45 7 ปีที่แล้ว +2

    jajajj you drew a smiley face

  • @amadodiego88
    @amadodiego88 12 ปีที่แล้ว +1

    2:14 happy face

  • @utberoxsobad
    @utberoxsobad 13 ปีที่แล้ว

    Ok I'm just thinking isn't a parabola and a hyperbola kind of impossible because if the cone goes on forever then you can't actually create that cut that they have right because they would just form an ellipse right? If someone can enlighten me so it actually makes sense or else I think we are doing this whole thing wrong right?

  • @suhailmalik95
    @suhailmalik95 11 ปีที่แล้ว

    Whats wrong with the website??? On TH-cam I have to search for each video of a Chapter individually!

  • @VideoOfMike
    @VideoOfMike 15 ปีที่แล้ว

    The canadian/british education system just skip few stuff because the math class in combined, instead of having geometry,algebra... we only have one class where we are suppose to learn as much as content from both courses in the same time.
    The text books contains content (but it still skipped geometry). The teacher/school just doesn't teach it or leave it until higher levels.
    We learn probability/statistic in grade 12 and we will never learn things like conic, inequality & algebra longdivision

  • @j2ultimatefan
    @j2ultimatefan 12 ปีที่แล้ว

    when he started the 3D drawing I kept moving my head right and left without even noticing lol XD

    • @shellssoul
      @shellssoul 5 ปีที่แล้ว

      @Lady Oscar lol GOD BLESS ❤️✨😂🙏🏽

  • @bluerose83092
    @bluerose83092 11 ปีที่แล้ว

    studying for my upcoming midterm and then my final...i hope i do well! :/

    • @flidict-8490
      @flidict-8490 5 ปีที่แล้ว

      bluerose83092 well...did you do well?

  • @wesleyondisdike9647
    @wesleyondisdike9647 4 ปีที่แล้ว +1

    Wow, this was before khan academy was even a thing, this was the beginnings when sal was alone, ig that's why the software and video quality is low